Search a number
-
+
11112112332 = 2234229149767
BaseRepresentation
bin10100101100101010…
…10110000011001100
31001200102101210110000
422112111112003030
5140224200043312
65034351044300
7542240252646
oct122625260314
931612353400
1011112112332
114792552512
1221a1510690
13108121c2c9
14775b35896
15450837adc
hex2965560cc

11112112332 has 60 divisors (see below), whose sum is σ = 29176304080. Its totient is φ = 3687837984.

The previous prime is 11112112313. The next prime is 11112112343. The reversal of 11112112332 is 23321121111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 688 + ... + 149079.

Almost surely, 211112112332 is an apocalyptic number.

11112112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588152040).

11112112332 is an abundant number, since it is smaller than the sum of its proper divisors (18064191748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11112112332 is a wasteful number, since it uses less digits than its factorization.

11112112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150012 (or 150001 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11112112332 its reverse (23321121111), we get a palindrome (34433233443).

The spelling of 11112112332 in words is "eleven billion, one hundred twelve million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 324 458 687 916 1374 2061 2748 4122 6183 8244 12366 18549 24732 37098 74196 149767 299534 449301 599068 898602 1347903 1797204 2695806 4043709 5391612 8087418 12131127 16174836 24262254 34296643 48524508 68593286 102889929 137186572 205779858 308669787 411559716 617339574 926009361 1234679148 1852018722 2778028083 3704037444 5556056166 11112112332